I counted the occurrences of the words "me", "my", "myself" and "I" in the article with a bash command:

tr -cs 'A-Za-z' '\n' < paul_carr.txt | grep -i -w -c "me\|my\|myself\|i"

Result: 82 out of 1858 words.

That's 4.4%, ca. 1 out of every 23 words.

The author is thereby scientifically proven to be on the very far end of the introspective scale.